Arecent survey asked, “How many times in the past 8 months have you fallen sick?” The 900 women who responded had a median of 2, mean of 2.71, and standard deviation of 1.43.

The 683 men who responded had a median of 1, mean of 1.24, and standard deviation of 1.34.

(a) Find a 95% confidence interval for the population mean for women. Interpret.

(b) Explain why the ¯y and s values suggest that this variable does not have a normal distribution. Does this cause a problem with the confidence interval method in (a)?

Explain.